Theorems · Theorem · linear algebra
LinearMap.isAlt_iff_eq_neg_flip
∀ {R : Type u_1} {R₁ : Type u_2} {M₁ : Type u_6} [inst : CommRing R] [inst_1 : CommSemiring R₁]
[inst_2 : AddCommMonoid M₁] [inst_3 : Module R₁ M₁] {I : R₁ →+* R} [NoZeroDivisors R] [CharZero R]
{B : M₁ →ₛₗ[I] M₁ →ₛₗ[I] R}, B.IsAlt ↔ B = -B.flip- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- RingHomstatement and proof · cited by 10,189
- CharZerostatement and proof · cited by 932
- LinearMap.extproof · cited by 844
- NoZeroDivisorsstatement and proof · cited by 545
- LinearMap.flipstatement and proof · cited by 193
- SMulCommClass.symmstatement · cited by 67
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